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Finding the Fourth Proportional to 313.02, 432.12 and 196.64

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Solution

The fourth proportional to 313.02, 432.12 and 196.64 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.02 : 432.12 = 196.64 : x
  2. Step 2: Convert to fraction form
    313.02/432.12 = 196.64/x
  3. Step 3: Cross multiply
    313.02x = 432.12 × 196.64
  4. Step 4: Simplify right side
    313.02x = 84,972.08
  5. Step 5: Solve for x
    x = 84,972.08/313.02
  6. Step 6: Final answer
    x = 271.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.